Document Type

Computational mechanics paper

Publication details

Hanaor, DAH, Gan, Y, Einav, I 2014, 'Normal contact stiffness at fractal interfaces', in ST Smith (ed.), 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), vol. II, Byron Bay, NSW, 9-12 December, Southern Cross University, Lismore, NSW, pp. 831-836. ISBN: 9780994152008.

Peer Reviewed



We present a novel approach for the evaluation of interfacial mechanics and contact area evolution between two simulated bodies exhibiting fractal surfaces. Applying spline-discretisation to define local contact normals and curvatures, we interpret the mechanics of these surfaces by examining discrete contact points as Hertzian spheres. This facilitates computationally efficient modelling of realistic surface-profiles, considering normal and tangential interactions between asperities. This has yielded significant improvements on existing methods, which are applicable primarily for rough-flat contacts. By modelling rough to rough contact of surface profiles with fractal dimensions in the region 1-1.9. We demonstrate the significance of fractality on interfacial stiffness with surfaces of greater fractal dimension exhibiting lower normalised stiffness. The linear development of contact area with load is consistent with contemporary numerical and experimental studies. The capabilities and results of this new model are contrasted with existing computational methods and experiments.